Show that x is rational if:
(i) x²=16
(ii) x2=0.0004
(iii) x2=
1\frac{7}{9}
(i) x²=16
⇒ 𝑥 = √16=4, which is rational.
(ii) x² =0.0004
⇒ 𝑥 = √0.0004=0.02, which is rational.
(iii) x²=1\frac{7}{9}
⇒ 𝑥 = \sqrt{1 \frac{7}{9}}=\sqrt{\frac{16}{9}}=\frac{4}{3}, \text { which is rational. }
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